1.) Use the product rule to find the derivative of (?10x6?7x9)(3ex+3) 2.) If f(t)=(t2+5t+8)(3t2+2) find f'(t)     Find f'(4) 3.) Find the...

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Advance Math

1.) Use the product rule to find the derivativeof

(?10x6?7x9)(3ex+3)

2.) Iff(t)=(t2+5t+8)(3t2+2) find f'(t)
   
Find f'(4)

3.) Find the derivative of the function
g(x)=(4x2+x?5)ex

g'(x)=

4.) If f(x)=(5?x2) /(8+x2) find:

f'(x)=

5.) If f(x)=(6x2+3x+4) / (?x) ,.  then:

f'(x) =    

f'(1) =

6.) Find the derivative of the functiong(x)=(ex) / (3+4x)

g'(x)=

7.)

Differentiate: y=(ln(x)) /( x6)

(dy) / (dx) =

8.) Given that
f(x)=x7h(x)
h(?1)=2
h'(?1)=5

Calculate f'(?1)

9.) The dose-response for a specific drug isf(x)=(100x2) / (x2+0.14) where f(x) is thepercent of relief obtained from a dose of x grams of a drug, where0?x?1.5

Find f'(0.7)

f'(0.7) =

and select the appropriate units.

a)Grams per percent relief

b)Percent relief per gram

c)Percent relief

d)Grams

10.)Let f(x)= (x) / (x+6) . Find the values ofx where f'(x)=5

Give exact answers (not decimalapproximations).


The greater solution is x=   
The lesser solution is x=  

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